Atkin-Lehner |
2+ 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090h |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-39699741758566680 = -1 · 23 · 39 · 5 · 73 · 435 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4320,-9585864] |
[a1,a2,a3,a4,a6] |
j |
-12232183057921/54457807624920 |
j-invariant |
L |
0.32999171874905 |
L(r)(E,1)/r! |
Ω |
0.1649958593748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030y1 |
Quadratic twists by: -3 |